Can a Strip Scar from a Hair Transplant Become Smaller with a Second Hair Transplant?

I did an FUT in 2010. I was told by a respectable clinic in Turkey that I can do a second FUT, where the old scar will be cut and the surgeon will perform an incision on top of scar and remove it. So, instead of old scar, I will have a newer thinner one. How is this possible? I’m aware I can do an FUE on top of the scar. Unfortunately with FUE, I’d have to shave my head, which would make the old scar visible. My long term plan is to do an FUE on top of scar but not now.

A second surgery almost always increases the size of the scar, if it is another strip surgery. Sometimes, I remove the scar and create a trichophytic closure which helps hair to grow through the scar. However, I reserve this for the last surgery I do when I perform a strip surgery. Strip surgery scars can easily be treated with scalp micropigmentation (See here: https://scalpmicropigmentation.com/scar-covering/)